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A204543 Number of (n+1)X2 0..1 arrays with permanents of 2X2 subblocks differing from neighboring permanents 1

%I #5 Mar 31 2012 12:37:02

%S 16,26,41,56,80,112,162,224,322,448,646,896,1290,1792,2582,3584,5162,

%T 7168,10326,14336,20650,28672,41302,57344,82602,114688,165206,229376,

%U 330410,458752,660822,917504,1321642,1835008,2643286,3670016,5286570

%N Number of (n+1)X2 0..1 arrays with permanents of 2X2 subblocks differing from neighboring permanents

%H R. H. Hardin, <a href="/A204543/b204543.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +2*a(n-4) for n>6

%F Empirical: a(2k)=14*2^k for k>1

%e Some solutions for n=8

%e ..1..1....1..1....1..1....0..0....0..1....0..0....1..1....1..0....0..1....1..0

%e ..1..0....0..1....1..0....0..1....1..0....1..1....1..0....1..0....1..0....0..1

%e ..1..0....0..1....1..0....1..1....1..0....0..1....1..0....1..1....1..0....0..1

%e ..1..1....1..1....0..1....1..1....0..1....0..1....0..1....1..1....1..1....1..0

%e ..1..1....1..1....0..1....1..0....0..1....1..1....0..1....1..0....1..1....1..0

%e ..0..1....0..1....1..1....1..0....1..1....1..1....1..1....1..0....0..1....0..1

%e ..0..1....0..1....1..1....0..1....1..1....0..1....1..1....1..1....0..1....0..1

%e ..1..0....1..0....0..1....0..1....0..1....0..1....1..0....1..1....1..1....1..1

%e ..1..0....0..0....0..1....1..0....0..0....1..1....0..0....1..0....0..0....0..0

%Y Even terms are A005009(n/2+1) for n>=4

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 16 2012

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)